OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS
If a nearly natural population system is deviated from its equilibrium, an important task of conservation ecology may be to control it back into equilibrium. In the paper a trophic chain is considered, and control systems are obtained by changing certain model parameters into control variables. For...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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2017
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/4913 https://doi.org/10.1016/j.ecolmodel.2010.04.011 |
| _version_ | 1789406476343705600 |
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| author | Gámez Cámara, Manuel Angel López, Inmaculada Shamandy, A. |
| author_facet | Gámez Cámara, Manuel Angel López, Inmaculada Shamandy, A. |
| author_sort | Gámez Cámara, Manuel Angel |
| collection | DSpace |
| description | If a nearly natural population system is deviated from its equilibrium, an important task of conservation ecology may be to control it back into equilibrium. In the paper a trophic chain is considered, and control systems are obtained by changing certain model parameters into control variables. For the equilibrium control two approaches are proposed. First, for a fixed time interval, local controllability into equilibrium is proved, and applying tools of optimal control, it is also shown how an appropriate open-loop control can be determined that actually controls the system into the equilibrium in given time. Another considered problem is to control the system to a new desired equilibrium. The problem is solved by the construction of a closed-loop control which asymptotically steers the trophic chain into this new equilibrium. In this way, actually, a controlled regime shift is realized. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-4913 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-49132023-04-12T19:37:37Z OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS Gámez Cámara, Manuel Angel López, Inmaculada Shamandy, A. Trophic chain Controllability Optimal control Equilibrium control If a nearly natural population system is deviated from its equilibrium, an important task of conservation ecology may be to control it back into equilibrium. In the paper a trophic chain is considered, and control systems are obtained by changing certain model parameters into control variables. For the equilibrium control two approaches are proposed. First, for a fixed time interval, local controllability into equilibrium is proved, and applying tools of optimal control, it is also shown how an appropriate open-loop control can be determined that actually controls the system into the equilibrium in given time. Another considered problem is to control the system to a new desired equilibrium. The problem is solved by the construction of a closed-loop control which asymptotically steers the trophic chain into this new equilibrium. In this way, actually, a controlled regime shift is realized. 2017-07-13T11:36:04Z 2017-07-13T11:36:04Z 2010 info:eu-repo/semantics/article http://hdl.handle.net/10835/4913 https://doi.org/10.1016/j.ecolmodel.2010.04.011 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Trophic chain Controllability Optimal control Equilibrium control Gámez Cámara, Manuel Angel López, Inmaculada Shamandy, A. OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS |
| title | OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS |
| title_full | OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS |
| title_fullStr | OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS |
| title_full_unstemmed | OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS |
| title_short | OPEN- AND CLOSED-LOOP EQUILIBRIUM CONTROL OF TROPHIC CHAINS |
| title_sort | open- and closed-loop equilibrium control of trophic chains |
| topic | Trophic chain Controllability Optimal control Equilibrium control |
| url | http://hdl.handle.net/10835/4913 https://doi.org/10.1016/j.ecolmodel.2010.04.011 |
| work_keys_str_mv | AT gamezcamaramanuelangel openandclosedloopequilibriumcontroloftrophicchains AT lopezinmaculada openandclosedloopequilibriumcontroloftrophicchains AT shamandya openandclosedloopequilibriumcontroloftrophicchains |